1311410900 has 36 divisors (see below), whose sum is σ = 2875120668. Its totient is φ = 519152640.

The previous prime is 1311410897. The next prime is 1311410917. The reversal of 1311410900 is 90141131.

It can be written as a sum of positive squares in 6 ways, for example, as 195049156 + 1116361744 = 13966^2 + 33412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57899 + ... + 77298.

It is an arithmetic number, because the mean of its divisors is an integer number (79864463).

Almost surely, 2^1311410900 is an apocalyptic number.

1311410900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311410900 is an abundant number, since it is smaller than the sum of its proper divisors (1563709768).

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

1311410900 is a wasteful number, since it uses less digits than its factorization.

1311410900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135308 (or 135301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1311410900 is about 36213.4077380188. The cubic root of 1311410900 is about 1094.5768608960.

It can be divided in two parts, 13 and 11410900, that multiplied together give a triangular number (148341700 = T₁₇₂₂₄).

The spelling of 1311410900 in words is "one billion, three hundred eleven million, four hundred ten thousand, nine hundred".