11314382100075 has 144 divisors (see below), whose sum is σ = 21220909632000. Its totient is φ = 5751679127040.

The previous prime is 11314382100067. The next prime is 11314382100113. The reversal of 11314382100075 is 57000128341311.

11314382100075 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 438 + 210 + 0 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 11314382100075 - 2³ = 11314382100067 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1918664527 + ... + 1918670423.

It is an arithmetic number, because the mean of its divisors is an integer number (147367428000).

Almost surely, 2^{11314382100075} is an apocalyptic number.

11314382100075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11314382100075 is a deficient number, since it is larger than the sum of its proper divisors (9906527531925).

11314382100075 is a wasteful number, since it uses less digits than its factorization.

11314382100075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11314382100075 in words is "eleven trillion, three hundred fourteen billion, three hundred eighty-two million, one hundred thousand, seventy-five".