1001020110311 has 24 divisors (see below), whose sum is σ = 1093930680240. Its totient is φ = 915511973376.

The previous prime is 1001020110289. The next prime is 1001020110319. The reversal of 1001020110311 is 1130110201001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1001020110311 is a prime.

It is a super-2 number, since 2×1001020110311² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001020110292 and 1001020110301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020110319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64712000 + ... + 64727466.

It is an arithmetic number, because the mean of its divisors is an integer number (45580445010).

Almost surely, 2^{1001020110311} is an apocalyptic number.

1001020110311 is a deficient number, since it is larger than the sum of its proper divisors (92910569929).

1001020110311 is a wasteful number, since it uses less digits than its factorization.

1001020110311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18995 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001020110311 its reverse (1130110201001), we get a palindrome (2131130311312).

The spelling of 1001020110311 in words is "one trillion, one billion, twenty million, one hundred ten thousand, three hundred eleven".