1001120013000 has 256 divisors, whose sum is σ = 3653211744000. Its totient is φ = 252914400000.

The previous prime is 1001120012999. The next prime is 1001120013007. The reversal of 1001120013000 is 3100211001.

1001120013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001120013007) 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, 462751 + ... + 1488750.

It is an arithmetic number, because the mean of its divisors is an integer number (14270358375).

Almost surely, 2^{1001120013000} is an apocalyptic number.

1001120013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120013000 is an abundant number, since it is smaller than the sum of its proper divisors (2652091731000).

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

1001120013000 is a wasteful number, since it uses less digits than its factorization.

1001120013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951550 (or 1951530 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001120013000 its reverse (3100211001), we get a palindrome (1004220224001).

The spelling of 1001120013000 in words is "one trillion, one billion, one hundred twenty million, thirteen thousand".