1271117125137 has 16 divisors (see below), whose sum is σ = 1789135880000. Its totient is φ = 800510485824.

The previous prime is 1271117125079. The next prime is 1271117125139. The reversal of 1271117125137 is 7315217111721.

It is not a de Polignac number, because 1271117125137 - 2²² = 1271112930833 is a prime.

It is a super-3 number, since 3×1271117125137³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1271117125095 and 1271117125104.

It is not an unprimeable number, because it can be changed into a prime (1271117125139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31928962 + ... + 31968747.

It is an arithmetic number, because the mean of its divisors is an integer number (111820992500).

Almost surely, 2^{1271117125137} is an apocalyptic number.

It is an amenable number.

1271117125137 is a deficient number, since it is larger than the sum of its proper divisors (518018754863).

1271117125137 is a wasteful number, since it uses less digits than its factorization.

1271117125137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63898080.

The product of its digits is 20580, while the sum is 39.

The spelling of 1271117125137 in words is "one trillion, two hundred seventy-one billion, one hundred seventeen million, one hundred twenty-five thousand, one hundred thirty-seven".