10112013105000 has 160 divisors (see below), whose sum is σ = 32262057336960. Its totient is φ = 2639163520000.

The previous prime is 10112013104987. The next prime is 10112013105013. The reversal of 10112013105000 is 50131021101.

It is an interprime number because it is at equal distance from previous prime (10112013104987) and next prime (10112013105013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6466641 + ... + 7876640.

It is an arithmetic number, because the mean of its divisors is an integer number (201637858356).

Almost surely, 2^{10112013105000} is an apocalyptic number.

10112013105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112013105000 is an abundant number, since it is smaller than the sum of its proper divisors (22150044231960).

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

10112013105000 is a wasteful number, since it uses less digits than its factorization.

10112013105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343357 (or 14343338 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10112013105000 its reverse (50131021101), we get a palindrome (10162144126101).

The spelling of 10112013105000 in words is "ten trillion, one hundred twelve billion, thirteen million, one hundred five thousand".