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13131112003 = 371134876449
BaseRepresentation
bin11000011101010110…
…01101111001000011
31020220010111121022121
430032223031321003
5203343031041003
610010553145111
7643254416242
oct141653157103
936803447277
1013131112003
115629196889
1226656bb197
1313135b9679
148c7d38959
1551cbeecbd
hex30eacde43

13131112003 has 16 divisors (see below), whose sum is σ = 13635403200. Its totient is φ = 12635191296.

The previous prime is 13131111977. The next prime is 13131112079. The reversal of 13131112003 is 30021113131.

It is a cyclic number.

It is not a de Polignac number, because 13131112003 - 229 = 12594241091 is a prime.

It is a super-2 number, since 2×131311120032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131112403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032923 + ... + 2039371.

It is an arithmetic number, because the mean of its divisors is an integer number (852212700).

Almost surely, 213131112003 is an apocalyptic number.

13131112003 is a deficient number, since it is larger than the sum of its proper divisors (504291197).

13131112003 is a wasteful number, since it uses less digits than its factorization.

13131112003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131112003 its reverse (30021113131), we get a palindrome (43152225134).

The spelling of 13131112003 in words is "thirteen billion, one hundred thirty-one million, one hundred twelve thousand, three".

Divisors: 1 37 113 487 4181 6449 18019 55031 238613 728737 2036147 3140663 26963269 116204531 354894919 13131112003