131411203313104 has 160 divisors (see below), whose sum is σ = 300474134674560. Its totient is φ = 54888368947200.

The previous prime is 131411203313069. The next prime is 131411203313167. The reversal of 131411203313104 is 401313302114131.

It is a super-2 number, since 2×131411203313104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531217107 + ... + 1531302925.

It is an arithmetic number, because the mean of its divisors is an integer number (1877963341716).

Almost surely, 2^{131411203313104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411203313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150237067337280).

131411203313104 is an abundant number, since it is smaller than the sum of its proper divisors (169062931361456).

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

131411203313104 is a wasteful number, since it uses less digits than its factorization.

131411203313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88869 (or 88863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131411203313104 its reverse (401313302114131), we get a palindrome (532724505427235).

The spelling of 131411203313104 in words is "one hundred thirty-one trillion, four hundred eleven billion, two hundred three million, three hundred thirteen thousand, one hundred four".