1231101210311 has 16 divisors (see below), whose sum is σ = 1410245935104. Its totient is φ = 1052775529344.

The previous prime is 1231101210307. The next prime is 1231101210337. The reversal of 1231101210311 is 1130121011321.

It is not a de Polignac number, because 1231101210311 - 2² = 1231101210307 is a prime.

It is a super-2 number, since 2×1231101210311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1231101210311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231101210611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21806426 + ... + 21862808.

It is an arithmetic number, because the mean of its divisors is an integer number (88140370944).

Almost surely, 2^{1231101210311} is an apocalyptic number.

1231101210311 is a deficient number, since it is larger than the sum of its proper divisors (179144724793).

1231101210311 is an equidigital number, since it uses as much as digits as its factorization.

1231101210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63590.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1231101210311 its reverse (1130121011321), we get a palindrome (2361222221632).

The spelling of 1231101210311 in words is "one trillion, two hundred thirty-one billion, one hundred one million, two hundred ten thousand, three hundred eleven".