1321122010131 has 192 divisors, whose sum is σ = 2537734717440. Its totient is φ = 642004704000.

The previous prime is 1321122010099. The next prime is 1321122010183. The reversal of 1321122010131 is 1310102211231.

1321122010131 is a `hidden beast` number, since 1 + 321 + 12 + 201 + 0 + 131 = 666.

It is not a de Polignac number, because 1321122010131 - 2⁵ = 1321122010099 is a prime.

It is a super-2 number, since 2×1321122010131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321122010031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174034146 + ... + 174041736.

It is an arithmetic number, because the mean of its divisors is an integer number (13217368320).

Almost surely, 2^{1321122010131} is an apocalyptic number.

1321122010131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321122010131 is a deficient number, since it is larger than the sum of its proper divisors (1216612707309).

1321122010131 is a wasteful number, since it uses less digits than its factorization.

1321122010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1321122010131 its reverse (1310102211231), we get a palindrome (2631224221362).

The spelling of 1321122010131 in words is "one trillion, three hundred twenty-one billion, one hundred twenty-two million, ten thousand, one hundred thirty-one".