103333543132040 has 128 divisors (see below), whose sum is σ = 252861182028000. Its totient is φ = 37778051555328.

The previous prime is 103333543132007. The next prime is 103333543132123. The reversal of 103333543132040 is 40231345333301.

It can be written as a sum of positive squares in 16 ways, for example, as 8195016937636 + 95138526194404 = 2862694^2 + 9753898^2 .

It is a super-2 number, since 2×103333543132040² (a number of 29 digits) contains 22 as substring.

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, 25847966 + ... + 29576754.

Almost surely, 2^{103333543132040} is an apocalyptic number.

103333543132040 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 103333543132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126430591014000).

103333543132040 is an abundant number, since it is smaller than the sum of its proper divisors (149527638895960).

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

103333543132040 is a wasteful number, since it uses less digits than its factorization.

103333543132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729339 (or 3729335 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 35.

Adding to 103333543132040 its reverse (40231345333301), we get a palindrome (143564888465341).

The spelling of 103333543132040 in words is "one hundred three trillion, three hundred thirty-three billion, five hundred forty-three million, one hundred thirty-two thousand, forty".