1011133101000 has 128 divisors (see below), whose sum is σ = 3441529503360. Its totient is φ = 245123168000.

The previous prime is 1011133100993. The next prime is 1011133101023. The reversal of 1011133101000 is 1013311101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15287199 + ... + 15353198.

It is an arithmetic number, because the mean of its divisors is an integer number (26886949245).

Almost surely, 2^{1011133101000} is an apocalyptic number.

1011133101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011133101000 is an abundant number, since it is smaller than the sum of its proper divisors (2430396402360).

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

1011133101000 is a wasteful number, since it uses less digits than its factorization.

1011133101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30640432 (or 30640418 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1011133101000 its reverse (1013311101), we get a palindrome (1012146412101).

The spelling of 1011133101000 in words is "one trillion, eleven billion, one hundred thirty-three million, one hundred one thousand".