1310120400 has 120 divisors (see below), whose sum is σ = 4256138304. Its totient is φ = 344422400.

The previous prime is 1310120393. The next prime is 1310120417. The reversal of 1310120400 is 40210131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 77512 + ... + 92888.

Almost surely, 2^1310120400 is an apocalyptic number.

1310120400 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 1310120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128069152).

1310120400 is an abundant number, since it is smaller than the sum of its proper divisors (2946017904).

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

1310120400 is a wasteful number, since it uses less digits than its factorization.

1310120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15469 (or 15458 counting only the distinct ones).

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

The square root of 1310120400 is about 36195.5853661741. The cubic root of 1310120400 is about 1094.2177019080.

Adding to 1310120400 its reverse (40210131), we get a palindrome (1350330531).

The spelling of 1310120400 in words is "one billion, three hundred ten million, one hundred twenty thousand, four hundred".