1314631332900 has 108 divisors (see below), whose sum is σ = 4125039217572. Its totient is φ = 350193991680.

The previous prime is 1314631332899. The next prime is 1314631332929. The reversal of 1314631332900 is 92331364131.

It is a happy number.

1314631332900 is a `hidden beast` number, since 1 + 3 + 14 + 6 + 313 + 329 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 653701356324 + 660929976576 = 808518^2 + 812976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63844 + ... + 1622756.

Almost surely, 2^{1314631332900} is an apocalyptic number.

1314631332900 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 1314631332900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062519608786).

1314631332900 is an abundant number, since it is smaller than the sum of its proper divisors (2810407884672).

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

1314631332900 is a wasteful number, since it uses less digits than its factorization.

1314631332900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559870 (or 1559860 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 1314631332900 in words is "one trillion, three hundred fourteen billion, six hundred thirty-one million, three hundred thirty-two thousand, nine hundred".