311133201010153 has 2 divisors, whose sum is σ = 311133201010154. Its totient is φ = 311133201010152.

The previous prime is 311133201010141. The next prime is 311133201010213. The reversal of 311133201010153 is 351010102331113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206407614473449 + 104725586536704 = 14366893^2 + 10233552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311133201010153 is a prime.

It is not a weakly prime, because it can be changed into another prime (311133201010133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155566600505076 + 155566600505077.

It is an arithmetic number, because the mean of its divisors is an integer number (155566600505077).

Almost surely, 2^{311133201010153} is an apocalyptic number.

It is an amenable number.

311133201010153 is a deficient number, since it is larger than the sum of its proper divisors (1).

311133201010153 is an equidigital number, since it uses as much as digits as its factorization.

311133201010153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 311133201010153 its reverse (351010102331113), we get a palindrome (662143303341266).

The spelling of 311133201010153 in words is "three hundred eleven trillion, one hundred thirty-three billion, two hundred one million, ten thousand, one hundred fifty-three".