10310120400 has 240 divisors, whose sum is σ = 33584689728. Its totient is φ = 2703360000.

The previous prime is 10310120389. The next prime is 10310120419. The reversal of 10310120400 is 402101301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 31148235 + ... + 31148565.

Almost surely, 2^10310120400 is an apocalyptic number.

10310120400 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 10310120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792344864).

10310120400 is an abundant number, since it is smaller than the sum of its proper divisors (23274569328).

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

10310120400 is a wasteful number, since it uses less digits than its factorization.

10310120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10310120400 its reverse (402101301), we get a palindrome (10712221701).

The spelling of 10310120400 in words is "ten billion, three hundred ten million, one hundred twenty thousand, four hundred".