131511114100 has 36 divisors (see below), whose sum is σ = 286440065100. Its totient is φ = 52408879360.

The previous prime is 131511114073. The next prime is 131511114127. The reversal of 131511114100 is 1411115131.

It is an interprime number because it is at equal distance from previous prime (131511114073) and next prime (131511114127).

It can be written as a sum of positive squares in 6 ways, for example, as 60758306064 + 70752808036 = 246492^2 + 265994^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2417545 + ... + 2471344.

It is an arithmetic number, because the mean of its divisors is an integer number (7956668475).

Almost surely, 2^131511114100 is an apocalyptic number.

131511114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131511114100 is an abundant number, since it is smaller than the sum of its proper divisors (154928951000).

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

131511114100 is a wasteful number, since it uses less digits than its factorization.

131511114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889172 (or 4889165 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 131511114100 its reverse (1411115131), we get a palindrome (132922229231).

It can be divided in two parts, 13151 and 1114100, that added together give a triangular number (1127251 = T₁₅₀₁).

The spelling of 131511114100 in words is "one hundred thirty-one billion, five hundred eleven million, one hundred fourteen thousand, one hundred".