1310013300 has 144 divisors (see below), whose sum is σ = 3973495680. Its totient is φ = 332597760.

The previous prime is 1310013293. The next prime is 1310013337. The reversal of 1310013300 is 33100131.

It is a super-2 number, since 2×1310013300² = 3432269692353780000, which contains 22 as substring.

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, 2573446 + ... + 2573954.

It is an arithmetic number, because the mean of its divisors is an integer number (27593720).

Almost surely, 2^1310013300 is an apocalyptic number.

1310013300 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 1310013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986747840).

1310013300 is an abundant number, since it is smaller than the sum of its proper divisors (2663482380).

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

1310013300 is a wasteful number, since it uses less digits than its factorization.

1310013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1310013300 is about 36194.1058737469. The cubic root of 1310013300 is about 1094.1878843153.

Adding to 1310013300 its reverse (33100131), we get a palindrome (1343113431).

The spelling of 1310013300 in words is "one billion, three hundred ten million, thirteen thousand, three hundred".