10002311311110 has 96 divisors (see below), whose sum is σ = 24979710742272. Its totient is φ = 2563101125760.

The previous prime is 10002311311103. The next prime is 10002311311127. The reversal of 10002311311110 is 1111311320001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002311311110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4384087 + ... + 6262973.

It is an arithmetic number, because the mean of its divisors is an integer number (260205320232).

Almost surely, 2^{10002311311110} is an apocalyptic number.

10002311311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002311311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489855371136).

10002311311110 is an abundant number, since it is smaller than the sum of its proper divisors (14977399431162).

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

10002311311110 is a wasteful number, since it uses less digits than its factorization.

10002311311110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879166 (or 1879137 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10002311311110 its reverse (1111311320001), we get a palindrome (11113622631111).

The spelling of 10002311311110 in words is "ten trillion, two billion, three hundred eleven million, three hundred eleven thousand, one hundred ten".