1256313202011 has 144 divisors (see below), whose sum is σ = 2239780128768. Its totient is φ = 701465184000.

The previous prime is 1256313202007. The next prime is 1256313202019. The reversal of 1256313202011 is 1102023136521.

1256313202011 is a `hidden beast` number, since 1 + 2 + 5 + 631 + 3 + 2 + 0 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 1256313202011 - 2² = 1256313202007 is a prime.

It is a super-3 number, since 3×1256313202011³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1256313202019) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95523286 + ... + 95536436.

It is an arithmetic number, because the mean of its divisors is an integer number (15554028672).

Almost surely, 2^{1256313202011} is an apocalyptic number.

1256313202011 is a deficient number, since it is larger than the sum of its proper divisors (983466926757).

1256313202011 is a wasteful number, since it uses less digits than its factorization.

1256313202011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1256313202011 its reverse (1102023136521), we get a palindrome (2358336338532).

The spelling of 1256313202011 in words is "one trillion, two hundred fifty-six billion, three hundred thirteen million, two hundred two thousand, eleven".