101020333313140 has 96 divisors (see below), whose sum is σ = 223622546716800. Its totient is φ = 38227496140800.

The previous prime is 101020333313129. The next prime is 101020333313189. The reversal of 101020333313140 is 41313333020101.

It is a congruent number.

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, 5377130827 + ... + 5377149613.

It is an arithmetic number, because the mean of its divisors is an integer number (2329401528300).

Almost surely, 2^{101020333313140} is an apocalyptic number.

101020333313140 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 101020333313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111811273358400).

101020333313140 is an abundant number, since it is smaller than the sum of its proper divisors (122602213403660).

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

101020333313140 is a wasteful number, since it uses less digits than its factorization.

101020333313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37983 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101020333313140 its reverse (41313333020101), we get a palindrome (142333666333241).

The spelling of 101020333313140 in words is "one hundred one trillion, twenty billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred forty".