1001113103120 has 80 divisors (see below), whose sum is σ = 2506803720960. Its totient is φ = 369616614912.

The previous prime is 1001113103113. The next prime is 1001113103129. The reversal of 1001113103120 is 213013111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1001113103095 and 1001113103104.

It is not an unprimeable number, because it can be changed into a prime (1001113103129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23148557 + ... + 23191763.

It is an arithmetic number, because the mean of its divisors is an integer number (31335046512).

Almost surely, 2^{1001113103120} is an apocalyptic number.

1001113103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001113103120 is an abundant number, since it is smaller than the sum of its proper divisors (1505690617840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001113103120 is a wasteful number, since it uses less digits than its factorization.

1001113103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65512 (or 65506 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1001113103120 its reverse (213013111001), we get a palindrome (1214126214121).

The spelling of 1001113103120 in words is "one trillion, one billion, one hundred thirteen million, one hundred three thousand, one hundred twenty".