102314540031 has 48 divisors (see below), whose sum is σ = 150691574880. Its totient is φ = 61702502400.

The previous prime is 102314540017. The next prime is 102314540057. The reversal of 102314540031 is 130045413201.

It is a happy number.

It is not a de Polignac number, because 102314540031 - 2²¹ = 102312442879 is a prime.

It is a super-2 number, since 2×102314540031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102314539983 and 102314540010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314541031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90623475 + ... + 90624603.

It is an arithmetic number, because the mean of its divisors is an integer number (3139407810).

Almost surely, 2^102314540031 is an apocalyptic number.

102314540031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102314540031 is a deficient number, since it is larger than the sum of its proper divisors (48377034849).

102314540031 is a wasteful number, since it uses less digits than its factorization.

102314540031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 102314540031 its reverse (130045413201), we get a palindrome (232359953232).

The spelling of 102314540031 in words is "one hundred two billion, three hundred fourteen million, five hundred forty thousand, thirty-one".