10111301310000 has 1600 divisors, whose sum is σ = 39689218584576. Its totient is φ = 2188492800000.

The previous prime is 10111301309939. The next prime is 10111301310049. The reversal of 10111301310000 is 1310311101.

It is a super-2 number, since 2×10111301310000² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9217229452 + ... + 9217230548.

Almost surely, 2^{10111301310000} is an apocalyptic number.

10111301310000 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 10111301310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19844609292288).

10111301310000 is an abundant number, since it is smaller than the sum of its proper divisors (29577917274576).

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

10111301310000 is a wasteful number, since it uses less digits than its factorization.

10111301310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1219 counting only the distinct ones).

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

Adding to 10111301310000 its reverse (1310311101), we get a palindrome (10112611621101).

The spelling of 10111301310000 in words is "ten trillion, one hundred eleven billion, three hundred one million, three hundred ten thousand".