133301132120310 has 256 divisors, whose sum is σ = 415807858999296. Its totient is φ = 26540020800000.

The previous prime is 133301132120263. The next prime is 133301132120347. The reversal of 133301132120310 is 13021231103331.

133301132120310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133301132120310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1982676 + ... + 16447895.

It is an arithmetic number, because the mean of its divisors is an integer number (1624249449216).

Almost surely, 2^{133301132120310} is an apocalyptic number.

133301132120310 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 133301132120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207903929499648).

133301132120310 is an abundant number, since it is smaller than the sum of its proper divisors (282506726878986).

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

133301132120310 is a wasteful number, since it uses less digits than its factorization.

133301132120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18430731.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 133301132120310 its reverse (13021231103331), we get a palindrome (146322363223641).

The spelling of 133301132120310 in words is "one hundred thirty-three trillion, three hundred one billion, one hundred thirty-two million, one hundred twenty thousand, three hundred ten".