1001113113121 has 64 divisors (see below), whose sum is σ = 1159228661760. Its totient is φ = 856247040000.

The previous prime is 1001113113109. The next prime is 1001113113127. The reversal of 1001113113121 is 1213113111001.

It is not a de Polignac number, because 1001113113121 - 2²¹ = 1001111015969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001113113095 and 1001113113104.

It is not an unprimeable number, because it can be changed into a prime (1001113113127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077623985 + ... + 1077624913.

It is an arithmetic number, because the mean of its divisors is an integer number (18112947840).

Almost surely, 2^{1001113113121} is an apocalyptic number.

1001113113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001113113121 is a deficient number, since it is larger than the sum of its proper divisors (158115548639).

1001113113121 is a wasteful number, since it uses less digits than its factorization.

1001113113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1001113113121 its reverse (1213113111001), we get a palindrome (2214226224122).

The spelling of 1001113113121 in words is "one trillion, one billion, one hundred thirteen million, one hundred thirteen thousand, one hundred twenty-one".