131555103210400 has 72 divisors (see below), whose sum is σ = 321297990260940. Its totient is φ = 52599250575360.

The previous prime is 131555103210347. The next prime is 131555103210409. The reversal of 131555103210400 is 4012301555131.

It can be written as a sum of positive squares in 6 ways, for example, as 115510303895184 + 16044799315216 = 10747572^2 + 4005596^2 .

It is not an unprimeable number, because it can be changed into a prime (131555103210409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33762129 + ... + 37456528.

Almost surely, 2^{131555103210400} is an apocalyptic number.

131555103210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131555103210400 is an abundant number, since it is smaller than the sum of its proper divisors (189742887050540).

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

131555103210400 is a wasteful number, since it uses less digits than its factorization.

131555103210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71220986 (or 71220973 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 131555103210400 its reverse (4012301555131), we get a palindrome (135567404765531).

The spelling of 131555103210400 in words is "one hundred thirty-one trillion, five hundred fifty-five billion, one hundred three million, two hundred ten thousand, four hundred".