10301311013000 has 192 divisors, whose sum is σ = 28131967543680. Its totient is φ = 3520368432000.

The previous prime is 10301311012991. The next prime is 10301311013003. The reversal of 10301311013000 is 31011310301.

It is a happy number.

It is a super-2 number, since 2×10301311013000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10301311013003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14700605 + ... + 15385395.

It is an arithmetic number, because the mean of its divisors is an integer number (146520664290).

Almost surely, 2^{10301311013000} is an apocalyptic number.

10301311013000 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 10301311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065983771840).

10301311013000 is an abundant number, since it is smaller than the sum of its proper divisors (17830656530680).

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

10301311013000 is a wasteful number, since it uses less digits than its factorization.

10301311013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685133 (or 685112 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10301311013000 its reverse (31011310301), we get a palindrome (10332322323301).

The spelling of 10301311013000 in words is "ten trillion, three hundred one billion, three hundred eleven million, thirteen thousand".