1011311013321 has 24 divisors (see below), whose sum is σ = 1669571377344. Its totient is φ = 577855461600.

The previous prime is 1011311013299. The next prime is 1011311013337. The reversal of 1011311013321 is 1233101131101.

1011311013321 is a `hidden beast` number, since 10 + 11 + 311 + 0 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 1011311013321 - 2⁵ = 1011311013289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011311013294 and 1011311013303.

It is not an unprimeable number, because it can be changed into a prime (1011311013121) 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, 512671 + ... + 1511771.

It is an arithmetic number, because the mean of its divisors is an integer number (69565474056).

Almost surely, 2^{1011311013321} is an apocalyptic number.

It is an amenable number.

1011311013321 is a deficient number, since it is larger than the sum of its proper divisors (658260364023).

1011311013321 is a wasteful number, since it uses less digits than its factorization.

1011311013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015181 (or 1015178 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1011311013321 its reverse (1233101131101), we get a palindrome (2244412144422).

The spelling of 1011311013321 in words is "one trillion, eleven billion, three hundred eleven million, thirteen thousand, three hundred twenty-one".