101162313 has 18 divisors (see below), whose sum is σ = 169980954. Its totient is φ = 57806784.

The previous prime is 101162311. The next prime is 101162317. The reversal of 101162313 is 313261101.

It can be written as a sum of positive squares in only one way, i.e., 88115769 + 13046544 = 9387^2 + 3612^2 .

It is not a de Polignac number, because 101162313 - 2¹ = 101162311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101162311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114256 + ... + 115137.

Almost surely, 2^101162313 is an apocalyptic number.

It is an amenable number.

101162313 is a deficient number, since it is larger than the sum of its proper divisors (68818641).

101162313 is a wasteful number, since it uses less digits than its factorization.

101162313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229413 (or 229403 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101162313 is about 10057.9477528967. The cubic root of 101162313 is about 465.9502869598.

It can be divided in two parts, 101162 and 313, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 101162313 in words is "one hundred one million, one hundred sixty-two thousand, three hundred thirteen".