75123002232313 has 6 divisors (see below), whose sum is σ = 87387982188666. Its totient is φ = 64391144770512.

The previous prime is 75123002232293. The next prime is 75123002232347. The reversal of 75123002232313 is 31323220032157.

It can be written as a sum of positive squares in only one way, i.e., 60558948133369 + 14564054098944 = 7781963^2 + 3816288^2 .

It is not a de Polignac number, because 75123002232313 - 2¹⁷ = 75123002101241 is a prime.

It is a super-2 number, since 2×75123002232313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75123002232413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 766561247220 + ... + 766561247317.

It is an arithmetic number, because the mean of its divisors is an integer number (14564663698111).

Almost surely, 2^{75123002232313} is an apocalyptic number.

It is an amenable number.

75123002232313 is a deficient number, since it is larger than the sum of its proper divisors (12264979956353).

75123002232313 is a wasteful number, since it uses less digits than its factorization.

75123002232313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533122494551 (or 1533122494544 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 75123002232313 in words is "seventy-five trillion, one hundred twenty-three billion, two million, two hundred thirty-two thousand, three hundred thirteen".