74101310001013 has 2 divisors, whose sum is σ = 74101310001014. Its totient is φ = 74101310001012.

The previous prime is 74101310000951. The next prime is 74101310001067. The reversal of 74101310001013 is 31010001310147.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44712518574564 + 29388791426449 = 6686742^2 + 5421143^2 .

It is a cyclic number.

It is not a de Polignac number, because 74101310001013 - 2⁴¹ = 71902286745461 is a prime.

It is a super-2 number, since 2×74101310001013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (74101310011013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37050655000506 + 37050655000507.

It is an arithmetic number, because the mean of its divisors is an integer number (37050655000507).

Almost surely, 2^{74101310001013} is an apocalyptic number.

It is an amenable number.

74101310001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

74101310001013 is an equidigital number, since it uses as much as digits as its factorization.

74101310001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 74101310001013 in words is "seventy-four trillion, one hundred one billion, three hundred ten million, one thousand, thirteen".