101300211213000 has 128 divisors (see below), whose sum is σ = 316111803621120. Its totient is φ = 27008676441600.

The previous prime is 101300211212983. The next prime is 101300211213013. The reversal of 101300211213000 is 312112003101.

It is a happy number.

101300211213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14268109 + ... + 20153891.

It is an arithmetic number, because the mean of its divisors is an integer number (2469623465790).

Almost surely, 2^{101300211213000} is an apocalyptic number.

101300211213000 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 101300211213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158055901810560).

101300211213000 is an abundant number, since it is smaller than the sum of its proper divisors (214811592408120).

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

101300211213000 is a wasteful number, since it uses less digits than its factorization.

101300211213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891544 (or 5891530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101300211213000 its reverse (312112003101), we get a palindrome (101612323216101).

The spelling of 101300211213000 in words is "one hundred one trillion, three hundred billion, two hundred eleven million, two hundred thirteen thousand".