101333213111130 has 768 divisors, whose sum is σ = 353119069416960. Its totient is φ = 18259076505600.

The previous prime is 101333213111099. The next prime is 101333213111147. The reversal of 101333213111130 is 31111312333101.

It is a super-3 number, since 3×101333213111130³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101333213111130.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 225330700 + ... + 225779960.

It is an arithmetic number, because the mean of its divisors is an integer number (459790454970).

Almost surely, 2^{101333213111130} is an apocalyptic number.

101333213111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333213111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176559534708480).

101333213111130 is an abundant number, since it is smaller than the sum of its proper divisors (251785856305830).

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

101333213111130 is a wasteful number, since it uses less digits than its factorization.

101333213111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449375 (or 449368 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 101333213111130 its reverse (31111312333101), we get a palindrome (132444525444231).

The spelling of 101333213111130 in words is "one hundred one trillion, three hundred thirty-three billion, two hundred thirteen million, one hundred eleven thousand, one hundred thirty".