202132313302131 has 80 divisors (see below), whose sum is σ = 313553120680800. Its totient is φ = 129613195353600.

The previous prime is 202132313302121. The next prime is 202132313302133. The reversal of 202132313302131 is 131203313231202.

202132313302131 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 32 + 313 + 302 + 13 + 1 = 666.

It is not a de Polignac number, because 202132313302131 - 2¹¹ = 202132313300083 is a prime.

It is a super-2 number, since 2×202132313302131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 202132313302095 and 202132313302104.

It is not an unprimeable number, because it can be changed into a prime (202132313302133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 740923791 + ... + 741196551.

It is an arithmetic number, because the mean of its divisors is an integer number (3919414008510).

Almost surely, 2^{202132313302131} is an apocalyptic number.

202132313302131 is a deficient number, since it is larger than the sum of its proper divisors (111420807378669).

202132313302131 is a wasteful number, since it uses less digits than its factorization.

202132313302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274002 (or 273993 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 202132313302131 its reverse (131203313231202), we get a palindrome (333335626533333).

The spelling of 202132313302131 in words is "two hundred two trillion, one hundred thirty-two billion, three hundred thirteen million, three hundred two thousand, one hundred thirty-one".