123202000313 has 12 divisors (see below), whose sum is σ = 151747002612. Its totient is φ = 99389848320.

The previous prime is 123202000309. The next prime is 123202000391. The reversal of 123202000313 is 313000202321.

It can be written as a sum of positive squares in 2 ways, for example, as 114117622969 + 9084377344 = 337813^2 + 95312^2 .

It is not a de Polignac number, because 123202000313 - 2² = 123202000309 is a prime.

It is a super-2 number, since 2×123202000313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123202000291 and 123202000300.

It is not an unprimeable number, because it can be changed into a prime (123202000213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73949948 + ... + 73951613.

It is an arithmetic number, because the mean of its divisors is an integer number (12645583551).

Almost surely, 2^123202000313 is an apocalyptic number.

It is an amenable number.

123202000313 is a deficient number, since it is larger than the sum of its proper divisors (28545002299).

123202000313 is a wasteful number, since it uses less digits than its factorization.

123202000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147901592 (or 147901585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 123202000313 its reverse (313000202321), we get a palindrome (436202202634).

The spelling of 123202000313 in words is "one hundred twenty-three billion, two hundred two million, three hundred thirteen", and thus it is an aban number.