1131314346261 has 60 divisors (see below), whose sum is σ = 1878463471500. Its totient is φ = 677940658560.

The previous prime is 1131314346247. The next prime is 1131314346263. The reversal of 1131314346261 is 1626434131311.

1131314346261 is a `hidden beast` number, since 1 + 1 + 3 + 13 + 14 + 3 + 4 + 626 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94552560036 + 1036761786225 = 307494^2 + 1018215^2 .

It is not a de Polignac number, because 1131314346261 - 2⁵ = 1131314346229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131314346263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 223815 + ... + 1520763.

It is an arithmetic number, because the mean of its divisors is an integer number (31307724525).

Almost surely, 2^{1131314346261} is an apocalyptic number.

1131314346261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131314346261 is a deficient number, since it is larger than the sum of its proper divisors (747149125239).

1131314346261 is a wasteful number, since it uses less digits than its factorization.

1131314346261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297072 (or 1297052 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 1131314346261 its reverse (1626434131311), we get a palindrome (2757748477572).

The spelling of 1131314346261 in words is "one trillion, one hundred thirty-one billion, three hundred fourteen million, three hundred forty-six thousand, two hundred sixty-one".