30100001310000 has 300 divisors, whose sum is σ = 105380395535272. Its totient is φ = 8017795584000.

The previous prime is 30100001309947. The next prime is 30100001310031. The reversal of 30100001310000 is 1310000103.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×30100001310000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81445632 + ... + 81814368.

Almost surely, 2^{30100001310000} is an apocalyptic number.

30100001310000 is a gapful number since it is divisible by the number (30) 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 30100001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690197767636).

30100001310000 is an abundant number, since it is smaller than the sum of its proper divisors (75280394225272).

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

30100001310000 is a wasteful number, since it uses less digits than its factorization.

30100001310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369678 (or 369654 counting only the distinct ones).

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

Adding to 30100001310000 its reverse (1310000103), we get a palindrome (30101311310103).

The spelling of 30100001310000 in words is "thirty trillion, one hundred billion, one million, three hundred ten thousand".