10300311300000 has 144 divisors (see below), whose sum is σ = 33795734372064. Its totient is φ = 2746749600000.

The previous prime is 10300311299983. The next prime is 10300311300029. The reversal of 10300311300000 is 311300301.

10300311300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10300311300000³ (a number of 40 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 16867186 + ... + 17467185.

It is an arithmetic number, because the mean of its divisors is an integer number (234692599806).

Almost surely, 2^{10300311300000} is an apocalyptic number.

10300311300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300311300000 is an abundant number, since it is smaller than the sum of its proper divisors (23495423072064).

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

10300311300000 is an frugal number, since it uses more digits than its factorization.

10300311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34334409 (or 34334381 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10300311300000 its reverse (311300301), we get a palindrome (10300622600301).

The spelling of 10300311300000 in words is "ten trillion, three hundred billion, three hundred eleven million, three hundred thousand".