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131370130101 = 37231549717551
BaseRepresentation
bin111101001011001000…
…1010001101010110101
3110120002102002001210010
41322112101101222311
54123021223130401
6140203421450433
712330321452520
oct1722621215265
9416072061703
10131370130101
1150794017161
1221563710a19
13c5079c55c2
146503443bb7
15363d2a7ed6
hex1e96451ab5

131370130101 has 32 divisors (see below), whose sum is σ = 208912048128. Its totient is φ = 71796067200.

The previous prime is 131370130063. The next prime is 131370130103. The reversal of 131370130101 is 101031073131.

It is not a de Polignac number, because 131370130101 - 29 = 131370129589 is a prime.

It is a super-2 number, since 2×1313701301012 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131370130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7476276 + ... + 7493826.

It is an arithmetic number, because the mean of its divisors is an integer number (6528501504).

Almost surely, 2131370130101 is an apocalyptic number.

It is an amenable number.

131370130101 is a deficient number, since it is larger than the sum of its proper divisors (77541918027).

131370130101 is a wasteful number, since it uses less digits than its factorization.

131370130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33081.

The product of its (nonzero) digits is 189, while the sum is 21.

The spelling of 131370130101 in words is "one hundred thirty-one billion, three hundred seventy million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 21 23 69 161 483 15497 17551 46491 52653 108479 122857 325437 356431 368571 403673 1069293 1211019 2495017 2825711 7485051 8477133 271987847 815963541 1903914929 5711744787 6255720481 18767161443 43790043367 131370130101