11310270410900 has 18 divisors (see below), whose sum is σ = 24543286791870. Its totient is φ = 4524108164320.

The previous prime is 11310270410899. The next prime is 11310270410909. The reversal of 11310270410900 is 901407201311.

It can be written as a sum of positive squares in 3 ways, for example, as 20213446276 + 11290056964624 = 142174^2 + 3360068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310270410909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56551351955 + ... + 56551352154.

Almost surely, 2^{11310270410900} is an apocalyptic number.

11310270410900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310270410900 is an abundant number, since it is smaller than the sum of its proper divisors (13233016380970).

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

11310270410900 is a wasteful number, since it uses less digits than its factorization.

11310270410900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113102704123 (or 113102704116 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 11310270410900 in words is "eleven trillion, three hundred ten billion, two hundred seventy million, four hundred ten thousand, nine hundred".