1020031013137 has 2 divisors, whose sum is σ = 1020031013138. Its totient is φ = 1020031013136.

The previous prime is 1020031013087. The next prime is 1020031013149. The reversal of 1020031013137 is 7313101300201.

1020031013137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622464193296 + 397566819841 = 788964^2 + 630529^2 .

It is an emirp because it is prime and its reverse (7313101300201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020031013137 is a prime.

It is a super-2 number, since 2×1020031013137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020061013137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510015506568 + 510015506569.

It is an arithmetic number, because the mean of its divisors is an integer number (510015506569).

Almost surely, 2^{1020031013137} is an apocalyptic number.

It is an amenable number.

1020031013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020031013137 is an equidigital number, since it uses as much as digits as its factorization.

1020031013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 1020031013137 its reverse (7313101300201), we get a palindrome (8333132313338).

The spelling of 1020031013137 in words is "one trillion, twenty billion, thirty-one million, thirteen thousand, one hundred thirty-seven".