311331101133053 has 2 divisors, whose sum is σ = 311331101133054. Its totient is φ = 311331101133052.

The previous prime is 311331101132993. The next prime is 311331101133113. The reversal of 311331101133053 is 350331101133113.

It is a balanced prime because it is at equal distance from previous prime (311331101132993) and next prime (311331101133113).

It can be written as a sum of positive squares in only one way, i.e., 311329721233444 + 1379899609 = 17644538^2 + 37147^2 .

It is an emirp because it is prime and its reverse (350331101133113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311331101133053 - 2¹⁶ = 311331101067517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311331101153053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665550566526 + 155665550566527.

It is an arithmetic number, because the mean of its divisors is an integer number (155665550566527).

Almost surely, 2^{311331101133053} is an apocalyptic number.

It is an amenable number.

311331101133053 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331101133053 is an equidigital number, since it uses as much as digits as its factorization.

311331101133053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 29.

Adding to 311331101133053 its reverse (350331101133113), we get a palindrome (661662202266166).

The spelling of 311331101133053 in words is "three hundred eleven trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, fifty-three".