132045442033131 has 64 divisors (see below), whose sum is σ = 213510555648000. Its totient is φ = 79988633857440.

The previous prime is 132045442033093. The next prime is 132045442033157. The reversal of 132045442033131 is 131330244540231.

132045442033131 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 454 + 42 + 0 + 33 + 131 = 666.

It is not a de Polignac number, because 132045442033131 - 2¹⁸ = 132045441770987 is a prime.

It is a super-2 number, since 2×132045442033131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132045442033231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193780890 + ... + 6193802208.

It is an arithmetic number, because the mean of its divisors is an integer number (3336102432000).

Almost surely, 2^{132045442033131} is an apocalyptic number.

132045442033131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132045442033131 is a deficient number, since it is larger than the sum of its proper divisors (81465113614869).

132045442033131 is a wasteful number, since it uses less digits than its factorization.

132045442033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30501 (or 30495 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 132045442033131 its reverse (131330244540231), we get a palindrome (263375686573362).

The spelling of 132045442033131 in words is "one hundred thirty-two trillion, forty-five billion, four hundred forty-two million, thirty-three thousand, one hundred thirty-one".