101100313301312 has 56 divisors (see below), whose sum is σ = 221322906854952. Its totient is φ = 45523593216000.

The previous prime is 101100313301279. The next prime is 101100313301327. The reversal of 101100313301312 is 213103313001101.

It can be written as a sum of positive squares in 4 ways, for example, as 9028919193856 + 92071394107456 = 3004816^2 + 9595384^2 .

It is a super-2 number, since 2×101100313301312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481853689 + ... + 1481921912.

It is an arithmetic number, because the mean of its divisors is an integer number (3952194765267).

Almost surely, 2^{101100313301312} is an apocalyptic number.

It is an amenable number.

101100313301312 is an abundant number, since it is smaller than the sum of its proper divisors (120222593553640).

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

101100313301312 is a wasteful number, since it uses less digits than its factorization.

101100313301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963775667 (or 2963775657 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101100313301312 its reverse (213103313001101), we get a palindrome (314203626302413).

The spelling of 101100313301312 in words is "one hundred one trillion, one hundred billion, three hundred thirteen million, three hundred one thousand, three hundred twelve".