2013100210031 has 8 divisors (see below), whose sum is σ = 2026362836784. Its totient is φ = 1999848709440.

The previous prime is 2013100209973. The next prime is 2013100210039. The reversal of 2013100210031 is 1300120013102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013100210031 is a prime.

It is a super-2 number, since 2×2013100210031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013100209988 and 2013100210015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100210039) 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, 2418326 + ... + 3142371.

It is an arithmetic number, because the mean of its divisors is an integer number (253295354598).

Almost surely, 2^{2013100210031} is an apocalyptic number.

2013100210031 is a deficient number, since it is larger than the sum of its proper divisors (13262626753).

2013100210031 is a wasteful number, since it uses less digits than its factorization.

2013100210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563081.

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

Adding to 2013100210031 its reverse (1300120013102), we get a palindrome (3313220223133).

The spelling of 2013100210031 in words is "two trillion, thirteen billion, one hundred million, two hundred ten thousand, thirty-one".