1002305133101 has 16 divisors (see below), whose sum is σ = 1066564422000. Its totient is φ = 940221542400.

The previous prime is 1002305133047. The next prime is 1002305133107. The reversal of 1002305133101 is 1013315032001.

1002305133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41963932201 + 960341200900 = 204851^2 + 979970^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002305133101 - 2³⁸ = 727427226157 is a prime.

It is a super-2 number, since 2×1002305133101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002305133107) 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, 1462376 + ... + 2035473.

It is an arithmetic number, because the mean of its divisors is an integer number (66660276375).

Almost surely, 2^{1002305133101} is an apocalyptic number.

It is an amenable number.

1002305133101 is a deficient number, since it is larger than the sum of its proper divisors (64259288899).

1002305133101 is a wasteful number, since it uses less digits than its factorization.

1002305133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498160.

The product of its (nonzero) digits is 270, while the sum is 20.

The spelling of 1002305133101 in words is "one trillion, two billion, three hundred five million, one hundred thirty-three thousand, one hundred one".