31465139103000 has 192 divisors, whose sum is σ = 108825477789600. Its totient is φ = 8195571014400.

The previous prime is 31465139102959. The next prime is 31465139103001. The reversal of 31465139103000 is 30193156413.

It is a happy number.

31465139103000 is a `hidden beast` number, since 31 + 4 + 6 + 513 + 9 + 103 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×31465139103000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31465139103001) 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 47 ways as a sum of consecutive naturals, for example, 40265635 + ... + 41039634.

Almost surely, 2^{31465139103000} is an apocalyptic number.

31465139103000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31465139103000 is an abundant number, since it is smaller than the sum of its proper divisors (77360338686600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31465139103000 is a wasteful number, since it uses less digits than its factorization.

31465139103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81305339 (or 81305322 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 31465139103000 in words is "thirty-one trillion, four hundred sixty-five billion, one hundred thirty-nine million, one hundred three thousand".