1131264621311 has 12 divisors (see below), whose sum is σ = 1248792906816. Its totient is φ = 1024008527520.

The previous prime is 1131264621301. The next prime is 1131264621343.

1131264621311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131264621311 - 2¹⁴ = 1131264604927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131264621301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20034671 + ... + 20091056.

It is an arithmetic number, because the mean of its divisors is an integer number (104066075568).

Almost surely, 2^{1131264621311} is an apocalyptic number.

1131264621311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131264621311 is a deficient number, since it is larger than the sum of its proper divisors (117528285505).

1131264621311 is a wasteful number, since it uses less digits than its factorization.

1131264621311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40125982 (or 40125971 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The spelling of 1131264621311 in words is "one trillion, one hundred thirty-one billion, two hundred sixty-four million, six hundred twenty-one thousand, three hundred eleven".