102032313 has 16 divisors (see below), whose sum is σ = 139921152. Its totient is φ = 66096000.

The previous prime is 102032309. The next prime is 102032383. The reversal of 102032313 is 313230201.

It is not a de Polignac number, because 102032313 - 2² = 102032309 is a prime.

It is a super-2 number, since 2×102032313² = 20821185792259938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102032292 and 102032301.

It is not an unprimeable number, because it can be changed into a prime (102032383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31803 + ... + 34863.

It is an arithmetic number, because the mean of its divisors is an integer number (8745072).

Almost surely, 2^102032313 is an apocalyptic number.

It is an amenable number.

102032313 is a deficient number, since it is larger than the sum of its proper divisors (37888839).

102032313 is a wasteful number, since it uses less digits than its factorization.

102032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 102032313 is about 10101.1045435635. The cubic root of 102032313 is about 467.2822065016.

Adding to 102032313 its reverse (313230201), we get a palindrome (415262514).

It can be divided in two parts, 1020 and 32313, that added together give a palindrome (33333).

The spelling of 102032313 in words is "one hundred two million, thirty-two thousand, three hundred thirteen".