10101311310000 has 200 divisors, whose sum is σ = 32944558104304. Its totient is φ = 2665912320000.

The previous prime is 10101311309993. The next prime is 10101311310007. The reversal of 10101311310000 is 1311310101.

It is an interprime number because it is at equal distance from previous prime (10101311309993) and next prime (10101311310007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10101311310000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10101311310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1174380 + ... + 4645620.

Almost surely, 2^{10101311310000} is an apocalyptic number.

10101311310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101311310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472279052152).

10101311310000 is an abundant number, since it is smaller than the sum of its proper divisors (22843246794304).

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

10101311310000 is an equidigital number, since it uses as much as digits as its factorization.

10101311310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471369 (or 3471348 counting only the distinct ones).

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

Adding to 10101311310000 its reverse (1311310101), we get a palindrome (10102622620101).

The spelling of 10101311310000 in words is "ten trillion, one hundred one billion, three hundred eleven million, three hundred ten thousand".