1013322101121 has 24 divisors (see below), whose sum is σ = 1602963052704. Its totient is φ = 611744962560.

The previous prime is 1013322101117. The next prime is 1013322101147. The reversal of 1013322101121 is 1211012233101.

1013322101121 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 210 + 1 + 121 = 666.

It is not a de Polignac number, because 1013322101121 - 2² = 1013322101117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013322101094 and 1013322101103.

It is not an unprimeable number, because it can be changed into a prime (1013322101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19888131 + ... + 19939016.

It is an arithmetic number, because the mean of its divisors is an integer number (66790127196).

Almost surely, 2^{1013322101121} is an apocalyptic number.

1013322101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013322101121 is a deficient number, since it is larger than the sum of its proper divisors (589640951583).

1013322101121 is a wasteful number, since it uses less digits than its factorization.

1013322101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39827421 (or 39827418 counting only the distinct ones).

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

Adding to 1013322101121 its reverse (1211012233101), we get a palindrome (2224334334222).

The spelling of 1013322101121 in words is "one trillion, thirteen billion, three hundred twenty-two million, one hundred one thousand, one hundred twenty-one".