102010313 has 8 divisors (see below), whose sum is σ = 110116800. Its totient is φ = 94209808.

The previous prime is 102010309. The next prime is 102010331. The reversal of 102010313 is 313010201.

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 102010313 - 2² = 102010309 is a prime.

It is a super-2 number, since 2×102010313² = 20812207916715938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102010294 and 102010303.

It is not an unprimeable number, because it can be changed into a prime (102060313) 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, 75803 + ... + 77136.

It is an arithmetic number, because the mean of its divisors is an integer number (13764600).

Almost surely, 2^102010313 is an apocalyptic number.

It is an amenable number.

102010313 is a deficient number, since it is larger than the sum of its proper divisors (8106487).

102010313 is a wasteful number, since it uses less digits than its factorization.

102010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152991.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 102010313 is about 10100.0154950376. The cubic root of 102010313 is about 467.2486192742.

Adding to 102010313 its reverse (313010201), we get a palindrome (415020514).

The spelling of 102010313 in words is "one hundred two million, ten thousand, three hundred thirteen".