1024400031013 has 2 divisors, whose sum is σ = 1024400031014. Its totient is φ = 1024400031012.

The previous prime is 1024400030999. The next prime is 1024400031047. The reversal of 1024400031013 is 3101300044201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 818268594724 + 206131436289 = 904582^2 + 454017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1024400031013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021400031013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512200015506 + 512200015507.

It is an arithmetic number, because the mean of its divisors is an integer number (512200015507).

Almost surely, 2^{1024400031013} is an apocalyptic number.

It is an amenable number.

1024400031013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024400031013 is an equidigital number, since it uses as much as digits as its factorization.

1024400031013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1024400031013 its reverse (3101300044201), we get a palindrome (4125700075214).

The spelling of 1024400031013 in words is "one trillion, twenty-four billion, four hundred million, thirty-one thousand, thirteen".