1311431262141 has 96 divisors (see below), whose sum is σ = 2393557665408. Its totient is φ = 627832719360.

The previous prime is 1311431262131. The next prime is 1311431262217. The reversal of 1311431262141 is 1412621341131.

It is a happy number.

It is not a de Polignac number, because 1311431262141 - 2⁷ = 1311431262013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311431262099 and 1311431262108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311431262101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12919401 + ... + 13020513.

It is an arithmetic number, because the mean of its divisors is an integer number (24932892348).

Almost surely, 2^{1311431262141} is an apocalyptic number.

1311431262141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311431262141 is a deficient number, since it is larger than the sum of its proper divisors (1082126403267).

1311431262141 is a wasteful number, since it uses less digits than its factorization.

1311431262141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101771 (or 101764 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The spelling of 1311431262141 in words is "one trillion, three hundred eleven billion, four hundred thirty-one million, two hundred sixty-two thousand, one hundred forty-one".