102132033131131 has 8 divisors (see below), whose sum is σ = 102979238229504. Its totient is φ = 101285500155840.

The previous prime is 102132033131057. The next prime is 102132033131171. The reversal of 102132033131131 is 131131330231201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102132033131131 - 2¹³ = 102132033122939 is a prime.

It is a super-2 number, since 2×102132033131131² (a number of 29 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 = 102132033131096 and 102132033131105.

It is not an unprimeable number, because it can be changed into a prime (102132033131171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167725600 + ... + 168333421.

It is an arithmetic number, because the mean of its divisors is an integer number (12872404778688).

Almost surely, 2^{102132033131131} is an apocalyptic number.

102132033131131 is a deficient number, since it is larger than the sum of its proper divisors (847205098373).

102132033131131 is a wasteful number, since it uses less digits than its factorization.

102132033131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336061541.

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

Adding to 102132033131131 its reverse (131131330231201), we get a palindrome (233263363362332).

The spelling of 102132033131131 in words is "one hundred two trillion, one hundred thirty-two billion, thirty-three million, one hundred thirty-one thousand, one hundred thirty-one".