102132434131 has 16 divisors (see below), whose sum is σ = 133095662784. Its totient is φ = 76054662144.

The previous prime is 102132434087. The next prime is 102132434153. The reversal of 102132434131 is 131434231201.

It is a cyclic number.

It is not a de Polignac number, because 102132434131 - 2¹⁵ = 102132401363 is a prime.

It is a super-2 number, since 2×102132434131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132434096 and 102132434105.

It is not an unprimeable number, because it can be changed into a prime (102132444131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33008290 + ... + 33011383.

It is an arithmetic number, because the mean of its divisors is an integer number (8318478924).

Almost surely, 2^102132434131 is an apocalyptic number.

102132434131 is a deficient number, since it is larger than the sum of its proper divisors (30963228653).

102132434131 is a wasteful number, since it uses less digits than its factorization.

102132434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66019710.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102132434131 its reverse (131434231201), we get a palindrome (233566665332).

The spelling of 102132434131 in words is "one hundred two billion, one hundred thirty-two million, four hundred thirty-four thousand, one hundred thirty-one".