31003101013 has 8 divisors (see below), whose sum is σ = 31843347768. Its totient is φ = 30162976704.

The previous prime is 31003100951. The next prime is 31003101053. The reversal of 31003101013 is 31010130013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10421755569 + 20581345444 = 102087^2 + 143462^2 .

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 31003101013 - 2⁹ = 31003100501 is a prime.

It is a super-2 number, since 2×31003101013² (a number of 22 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 = 31003100984 and 31003101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003101053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745395 + ... + 785887.

It is an arithmetic number, because the mean of its divisors is an integer number (3980418471).

Almost surely, 2^31003101013 is an apocalyptic number.

It is an amenable number.

31003101013 is a deficient number, since it is larger than the sum of its proper divisors (840246755).

31003101013 is a wasteful number, since it uses less digits than its factorization.

31003101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61223.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31003101013 its reverse (31010130013), we get a palindrome (62013231026).

The spelling of 31003101013 in words is "thirty-one billion, three million, one hundred one thousand, thirteen".