10210312013 has 16 divisors (see below), whose sum is σ = 11866118976. Its totient is φ = 8682474240.

The previous prime is 10210311973. The next prime is 10210312037. The reversal of 10210312013 is 31021301201.

It is not a de Polignac number, because 10210312013 - 2¹⁰ = 10210310989 is a prime.

It is a super-2 number, since 2×10210312013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210312043) 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, 137006 + ... + 197967.

It is an arithmetic number, because the mean of its divisors is an integer number (741632436).

Almost surely, 2^10210312013 is an apocalyptic number.

It is an amenable number.

10210312013 is a deficient number, since it is larger than the sum of its proper divisors (1655806963).

10210312013 is a wasteful number, since it uses less digits than its factorization.

10210312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335164.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10210312013 its reverse (31021301201), we get a palindrome (41231613214).

It can be divided in two parts, 10210 and 312013, that added together give a palindrome (322223).

The spelling of 10210312013 in words is "ten billion, two hundred ten million, three hundred twelve thousand, thirteen".