101301313332030 has 192 divisors, whose sum is σ = 284071206504960. Its totient is φ = 23052017753856.

The previous prime is 101301313331993. The next prime is 101301313332073. The reversal of 101301313332030 is 30233313103101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 497891661 + ... + 498095079.

It is an arithmetic number, because the mean of its divisors is an integer number (1479537533880).

Almost surely, 2^{101301313332030} is an apocalyptic number.

101301313332030 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 101301313332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142035603252480).

101301313332030 is an abundant number, since it is smaller than the sum of its proper divisors (182769893172930).

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

101301313332030 is a wasteful number, since it uses less digits than its factorization.

101301313332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204943 (or 204936 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101301313332030 its reverse (30233313103101), we get a palindrome (131534626435131).

The spelling of 101301313332030 in words is "one hundred one trillion, three hundred one billion, three hundred thirteen million, three hundred thirty-two thousand, thirty".