10112131434312 has 96 divisors (see below), whose sum is σ = 28868941936800. Its totient is φ = 3279610099008.

The previous prime is 10112131434259. The next prime is 10112131434341. The reversal of 10112131434312 is 21343413121101.

10112131434312 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 1 + 314 + 34 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16802698 + ... + 17394105.

It is an arithmetic number, because the mean of its divisors is an integer number (300718145175).

Almost surely, 2^{10112131434312} is an apocalyptic number.

10112131434312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112131434312 is an abundant number, since it is smaller than the sum of its proper divisors (18756810502488).

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

10112131434312 is a wasteful number, since it uses less digits than its factorization.

10112131434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196892 (or 34196845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10112131434312 its reverse (21343413121101), we get a palindrome (31455544555413).

The spelling of 10112131434312 in words is "ten trillion, one hundred twelve billion, one hundred thirty-one million, four hundred thirty-four thousand, three hundred twelve".