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1312111112131 is a prime number
BaseRepresentation
bin10011000101111111111…
…010101010111111000011
311122102210021112200202201
4103011333322222333003
5132444200421042011
62442435302454031
7163540223301241
oct23057772527703
94572707480681
101312111112131
11466510574a76
12192367434317
1396968293591
1447713c4b791
15241e72e2cc1
hex1317feaafc3

1312111112131 has 2 divisors, whose sum is σ = 1312111112132. Its totient is φ = 1312111112130.

The previous prime is 1312111112119. The next prime is 1312111112141.

1312111112131 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1312111112131 - 237 = 1174672158659 is a prime.

It is a super-2 number, since 2×13121111121312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312111112099 and 1312111112108.

It is not a weakly prime, because it can be changed into another prime (1312111112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656055556065 + 656055556066.

It is an arithmetic number, because the mean of its divisors is an integer number (656055556066).

Almost surely, 21312111112131 is an apocalyptic number.

1312111112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312111112131 is an equidigital number, since it uses as much as digits as its factorization.

1312111112131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 19.

The spelling of 1312111112131 in words is "one trillion, three hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred thirty-one".