311013963 has 48 divisors (see below), whose sum is σ = 515039616. Its totient is φ = 179159040.

The previous prime is 311013949. The next prime is 311013991. The reversal of 311013963 is 369310113.

It is not a de Polignac number, because 311013963 - 2⁵ = 311013931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311013163) 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 47 ways as a sum of consecutive naturals, for example, 538731 + ... + 539307.

It is an arithmetic number, because the mean of its divisors is an integer number (10729992).

Almost surely, 2^311013963 is an apocalyptic number.

311013963 is a deficient number, since it is larger than the sum of its proper divisors (204025653).

311013963 is a wasteful number, since it uses less digits than its factorization.

311013963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 311013963 is about 17635.5879686502. The cubic root of 311013963 is about 677.5270345916.

The spelling of 311013963 in words is "three hundred eleven million, thirteen thousand, nine hundred sixty-three".