10772120313 has 16 divisors (see below), whose sum is σ = 15960820800. Its totient is φ = 7180457760.

The previous prime is 10772120279. The next prime is 10772120323. The reversal of 10772120313 is 31302127701.

It is not a de Polignac number, because 10772120313 - 2¹⁴ = 10772103929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10772120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222573 + ... + 266613.

It is an arithmetic number, because the mean of its divisors is an integer number (997551300).

Almost surely, 2^10772120313 is an apocalyptic number.

It is an amenable number.

10772120313 is a deficient number, since it is larger than the sum of its proper divisors (5188700487).

10772120313 is an equidigital number, since it uses as much as digits as its factorization.

10772120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53109 (or 53103 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 10772120313 in words is "ten billion, seven hundred seventy-two million, one hundred twenty thousand, three hundred thirteen".