1331312132131 has 16 divisors (see below), whose sum is σ = 1355851486080. Its totient is φ = 1306840112640.

The previous prime is 1331312132027. The next prime is 1331312132141. The reversal of 1331312132131 is 1312312131331.

It is a cyclic number.

It is not a de Polignac number, because 1331312132131 - 2³³ = 1322722197539 is a prime.

It is a super-2 number, since 2×1331312132131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331312132096 and 1331312132105.

It is not an unprimeable number, because it can be changed into a prime (1331312132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134051236 + ... + 134061166.

It is an arithmetic number, because the mean of its divisors is an integer number (84740717880).

Almost surely, 2^{1331312132131} is an apocalyptic number.

1331312132131 is a deficient number, since it is larger than the sum of its proper divisors (24539353949).

1331312132131 is a wasteful number, since it uses less digits than its factorization.

1331312132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074.

The product of its digits is 972, while the sum is 25.

Adding to 1331312132131 its reverse (1312312131331), we get a palindrome (2643624263462).

The spelling of 1331312132131 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, one hundred thirty-two thousand, one hundred thirty-one".