10313234400000 has 432 divisors, whose sum is σ = 39209330942208. Its totient is φ = 2357306880000.

The previous prime is 10313234399989. The next prime is 10313234400061. The reversal of 10313234400000 is 443231301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10313234400000.

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, 16493059 + ... + 17106941.

It is an arithmetic number, because the mean of its divisors is an integer number (90762340144).

Almost surely, 2^{10313234400000} is an apocalyptic number.

10313234400000 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 10313234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604665471104).

10313234400000 is an abundant number, since it is smaller than the sum of its proper divisors (28896096542208).

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

10313234400000 is an frugal number, since it uses more digits than its factorization.

10313234400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613934 (or 613900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10313234400000 its reverse (443231301), we get a palindrome (10313677631301).

The spelling of 10313234400000 in words is "ten trillion, three hundred thirteen billion, two hundred thirty-four million, four hundred thousand".