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13131522020001 = 371156846415671
BaseRepresentation
bin1011111100010110101110…
…1101001001001010100001
31201111100202100101101211110
42333011223231021022201
53210121324114120001
643532312105533533
72523502233335010
oct277055355111241
951440670341743
1013131522020001
114203057929aa0
121580b881a42a9
137433b2c91ba8
143357d76c6a77
1517b8aae443d6
hexbf16bb492a1

13131522020001 has 16 divisors (see below), whose sum is σ = 21829023618048. Its totient is φ = 6821569880400.

The previous prime is 13131522019991. The next prime is 13131522020003. The reversal of 13131522020001 is 10002022513131.

It is not a de Polignac number, because 13131522020001 - 25 = 13131522019969 is a prime.

It is a super-2 number, since 2×131315220200012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13131522020001.

It is not an unprimeable number, because it can be changed into a prime (13131522020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28423207605 + ... + 28423208066.

It is an arithmetic number, because the mean of its divisors is an integer number (1364313976128).

Almost surely, 213131522020001 is an apocalyptic number.

13131522020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13131522020001 is a deficient number, since it is larger than the sum of its proper divisors (8697501598047).

13131522020001 is a wasteful number, since it uses less digits than its factorization.

13131522020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56846415692.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 13131522020001 its reverse (10002022513131), we get a palindrome (23133544533132).

The spelling of 13131522020001 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty-two million, twenty thousand, one".

Divisors: 1 3 7 11 21 33 77 231 56846415671 170539247013 397924909697 625310572381 1193774729091 1875931717143 4377174006667 13131522020001