101333313102 has 192 divisors, whose sum is σ = 246720660480. Its totient is φ = 27642585600.

The previous prime is 101333313101. The next prime is 101333313119. The reversal of 101333313102 is 201313333101.

101333313102 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333313101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142923924 + ... + 142924632.

It is an arithmetic number, because the mean of its divisors is an integer number (1285003440).

Almost surely, 2^101333313102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123360330240).

101333313102 is an abundant number, since it is smaller than the sum of its proper divisors (145387347378).

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

101333313102 is a wasteful number, since it uses less digits than its factorization.

101333313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101333313102 its reverse (201313333101), we get a palindrome (302646646203).

The spelling of 101333313102 in words is "one hundred one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred two".