131310111100100 has 18 divisors (see below), whose sum is σ = 284942941087434. Its totient is φ = 52524044440000.

The previous prime is 131310111100079. The next prime is 131310111100117. The reversal of 131310111100100 is 1001111013131.

It can be written as a sum of positive squares in 3 ways, for example, as 16722848852164 + 114587262247936 = 4089358^2 + 10704544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656550555401 + ... + 656550555600.

Almost surely, 2^{131310111100100} is an apocalyptic number.

131310111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310111100100 is an abundant number, since it is smaller than the sum of its proper divisors (153632829987334).

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

131310111100100 is a wasteful number, since it uses less digits than its factorization.

131310111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313101111015 (or 1313101111008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 131310111100100 its reverse (1001111013131), we get a palindrome (132311222113231).

The spelling of 131310111100100 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred eleven million, one hundred thousand, one hundred".