1313011002031 has 8 divisors (see below), whose sum is σ = 1326496930128. Its totient is φ = 1299534600000.

The previous prime is 1313011002019. The next prime is 1313011002071. The reversal of 1313011002031 is 1302001103131.

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 1313011002031 - 2¹⁷ = 1313010870959 is a prime.

It is a super-2 number, since 2×1313011002031² (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 = 1313011001996 and 1313011002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313011002071) 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, 2104270 + ... + 2655931.

It is an arithmetic number, because the mean of its divisors is an integer number (165812116266).

Almost surely, 2^{1313011002031} is an apocalyptic number.

1313011002031 is a deficient number, since it is larger than the sum of its proper divisors (13485928097).

1313011002031 is a wasteful number, since it uses less digits than its factorization.

1313011002031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763033.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1313011002031 its reverse (1302001103131), we get a palindrome (2615012105162).

It can be divided in two parts, 131301100 and 2031, that added together give a palindrome (131303131).

The spelling of 1313011002031 in words is "one trillion, three hundred thirteen billion, eleven million, two thousand, thirty-one".