101590131531249 has 27 divisors (see below), whose sum is σ = 146908291416523. Its totient is φ = 67649769478032.

The previous prime is 101590131531227. The next prime is 101590131531271. The reversal of 101590131531249 is 942135131095101.

The square root of 101590131531249 is 10079193.

It is a perfect power (a square), and thus also a powerful number.

101590131531249 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 90 + 1 + 3 + 1 + 531 + 24 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (101590131531227) and next prime (101590131531271).

It can be written as a sum of positive squares in only one way, i.e., 100409718816225 + 1180412715024 = 10020465^2 + 1086468^2 .

It is not a de Polignac number, because 101590131531249 - 2¹³ = 101590131523057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101590131539249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41516194744 + ... + 41516197190.

Almost surely, 2^{101590131531249} is an apocalyptic number.

101590131531249 is the 10079193-rd square number.

101590131531249 is the 5039597-th centered octagonal number.

It is an amenable number.

101590131531249 is a deficient number, since it is larger than the sum of its proper divisors (45318159885274).

101590131531249 is an frugal number, since it uses more digits than its factorization.

101590131531249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 101590131531249 in words is "one hundred one trillion, five hundred ninety billion, one hundred thirty-one million, five hundred thirty-one thousand, two hundred forty-nine".