10431117312 has 384 divisors, whose sum is σ = 36739422720. Its totient is φ = 2548039680.

The previous prime is 10431117311. The next prime is 10431117331. The reversal of 10431117312 is 21371113401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10431117312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431117311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041848 + ... + 8043144.

It is an arithmetic number, because the mean of its divisors is an integer number (95675580).

Almost surely, 2^10431117312 is an apocalyptic number.

10431117312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369711360).

10431117312 is an abundant number, since it is smaller than the sum of its proper divisors (26308305408).

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

10431117312 is a wasteful number, since it uses less digits than its factorization.

10431117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10431117312 in words is "ten billion, four hundred thirty-one million, one hundred seventeen thousand, three hundred twelve".