1361331514900 has 72 divisors (see below), whose sum is σ = 3553791778880. Its totient is φ = 442176848640.

The previous prime is 1361331514891. The next prime is 1361331514903. The reversal of 1361331514900 is 94151331631.

It is a self number, because there is not a number n which added to its sum of digits gives 1361331514900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361331514903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51164577 + ... + 51191176.

Almost surely, 2^{1361331514900} is an apocalyptic number.

1361331514900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361331514900 is an abundant number, since it is smaller than the sum of its proper divisors (2192460263980).

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

1361331514900 is a wasteful number, since it uses less digits than its factorization.

1361331514900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102355793 (or 102355786 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 1361331514900 in words is "one trillion, three hundred sixty-one billion, three hundred thirty-one million, five hundred fourteen thousand, nine hundred".