101000713502311 has 16 divisors (see below), whose sum is σ = 118344029147136. Its totient is φ = 84400392738816.

The previous prime is 101000713502291. The next prime is 101000713502327. The reversal of 101000713502311 is 113205317000101.

It is not a de Polignac number, because 101000713502311 - 2²³ = 101000705113703 is a prime.

It is a super-2 number, since 2×101000713502311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000713502011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597178191 + ... + 597347296.

It is an arithmetic number, because the mean of its divisors is an integer number (7396501821696).

Almost surely, 2^{101000713502311} is an apocalyptic number.

101000713502311 is a deficient number, since it is larger than the sum of its proper divisors (17343315644825).

101000713502311 is a wasteful number, since it uses less digits than its factorization.

101000713502311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194525798.

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 101000713502311 in words is "one hundred one trillion, seven hundred thirteen million, five hundred two thousand, three hundred eleven".