1021400031013 has 2 divisors, whose sum is σ = 1021400031014. Its totient is φ = 1021400031012.

The previous prime is 1021400030953. The next prime is 1021400031109. The reversal of 1021400031013 is 3101300041201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980925833889 + 40474197124 = 990417^2 + 201182^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021400031013 - 2¹³ = 1021400022821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021400037013) 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 as a sum of consecutive naturals, namely, 510700015506 + 510700015507.

It is an arithmetic number, because the mean of its divisors is an integer number (510700015507).

Almost surely, 2^{1021400031013} is an apocalyptic number.

It is an amenable number.

1021400031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021400031013 is an equidigital number, since it uses as much as digits as its factorization.

1021400031013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1021400031013 its reverse (3101300041201), we get a palindrome (4122700072214).

The spelling of 1021400031013 in words is "one trillion, twenty-one billion, four hundred million, thirty-one thousand, thirteen".