1031021102013 has 48 divisors (see below), whose sum is σ = 1661041249920. Its totient is φ = 557163505152.

The previous prime is 1031021102009. The next prime is 1031021102017. The reversal of 1031021102013 is 3102011201301.

It is a happy number.

1031021102013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1031021102009) and next prime (1031021102017).

It is not a de Polignac number, because 1031021102013 - 2² = 1031021102009 is a prime.

It is a super-2 number, since 2×1031021102013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031021101983 and 1031021102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031021102017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194081 + ... + 4433097.

It is an arithmetic number, because the mean of its divisors is an integer number (34605026040).

Almost surely, 2^{1031021102013} is an apocalyptic number.

It is an amenable number.

1031021102013 is a deficient number, since it is larger than the sum of its proper divisors (630020147907).

1031021102013 is a wasteful number, since it uses less digits than its factorization.

1031021102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239634 (or 239615 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1031021102013 its reverse (3102011201301), we get a palindrome (4133032303314).

The spelling of 1031021102013 in words is "one trillion, thirty-one billion, twenty-one million, one hundred two thousand, thirteen".