10431313013400 has 192 divisors, whose sum is σ = 32543570292480. Its totient is φ = 2763976665600.

The previous prime is 10431313013393. The next prime is 10431313013413. The reversal of 10431313013400 is 431031313401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59064027 + ... + 59240373.

It is an arithmetic number, because the mean of its divisors is an integer number (169497761940).

Almost surely, 2^{10431313013400} is an apocalyptic number.

10431313013400 is a gapful number since it is divisible by the number (10) 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 10431313013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271785146240).

10431313013400 is an abundant number, since it is smaller than the sum of its proper divisors (22112257279080).

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

10431313013400 is a wasteful number, since it uses less digits than its factorization.

10431313013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176994 (or 176985 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10431313013400 its reverse (431031313401), we get a palindrome (10862344326801).

The spelling of 10431313013400 in words is "ten trillion, four hundred thirty-one billion, three hundred thirteen million, thirteen thousand, four hundred".