103311202000 has 80 divisors (see below), whose sum is σ = 250385505552. Its totient is φ = 41228697600.

The previous prime is 103311201967. The next prime is 103311202003. The reversal of 103311202000 is 202113301.

It can be written as a sum of positive squares in 8 ways, for example, as 25924864144 + 77386337856 = 161012^2 + 278184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806352 + ... + 925648.

Almost surely, 2^103311202000 is an apocalyptic number.

103311202000 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 103311202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125192752776).

103311202000 is an abundant number, since it is smaller than the sum of its proper divisors (147074303552).

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

103311202000 is a wasteful number, since it uses less digits than its factorization.

103311202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119753 (or 119737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103311202000 its reverse (202113301), we get a palindrome (103513315301).

The spelling of 103311202000 in words is "one hundred three billion, three hundred eleven million, two hundred two thousand".