101590131531248 has 80 divisors (see below), whose sum is σ = 203795467192800. Its totient is φ = 49025150976000.

The previous prime is 101590131531227. The next prime is 101590131531271. The reversal of 101590131531248 is 842135131095101.

It is a Cunningham number, because it is equal to 10079193²-1.

It is a junction number, because it is equal to n+sod(n) for n = 101590131531199 and 101590131531208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80003603 + ... + 81263501.

It is an arithmetic number, because the mean of its divisors is an integer number (2547443339910).

Almost surely, 2^{101590131531248} is an apocalyptic number.

It is an amenable number.

101590131531248 is an abundant number, since it is smaller than the sum of its proper divisors (102205335661552).

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

101590131531248 is a wasteful number, since it uses less digits than its factorization.

101590131531248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261266 (or 1261260 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 101590131531248 in words is "one hundred one trillion, five hundred ninety billion, one hundred thirty-one million, five hundred thirty-one thousand, two hundred forty-eight".