311231011101053 has 2 divisors, whose sum is σ = 311231011101054. Its totient is φ = 311231011101052.

The previous prime is 311231011101047. The next prime is 311231011101061. The reversal of 311231011101053 is 350101110132113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202328491505284 + 108902519595769 = 14224222^2 + 10435637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311231011101053 is a prime.

It is a super-4 number, since 4×311231011101053⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311231011101853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155615505550526 + 155615505550527.

It is an arithmetic number, because the mean of its divisors is an integer number (155615505550527).

Almost surely, 2^{311231011101053} is an apocalyptic number.

It is an amenable number.

311231011101053 is a deficient number, since it is larger than the sum of its proper divisors (1).

311231011101053 is an equidigital number, since it uses as much as digits as its factorization.

311231011101053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 23.

Adding to 311231011101053 its reverse (350101110132113), we get a palindrome (661332121233166).

The spelling of 311231011101053 in words is "three hundred eleven trillion, two hundred thirty-one billion, eleven million, one hundred one thousand, fifty-three".