103012032132300 has 576 divisors, whose sum is σ = 338218257646080. Its totient is φ = 24051099156480.

The previous prime is 103012032132263. The next prime is 103012032132337. The reversal of 103012032132300 is 3231230210301.

It is an interprime number because it is at equal distance from previous prime (103012032132263) and next prime (103012032132337).

It is a super-2 number, since 2×103012032132300² (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 191 ways as a sum of consecutive naturals, for example, 2058034074 + ... + 2058084126.

It is an arithmetic number, because the mean of its divisors is an integer number (587184475080).

Almost surely, 2^{103012032132300} is an apocalyptic number.

103012032132300 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 103012032132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169109128823040).

103012032132300 is an abundant number, since it is smaller than the sum of its proper divisors (235206225513780).

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

103012032132300 is a wasteful number, since it uses less digits than its factorization.

103012032132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50490 (or 50483 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103012032132300 its reverse (3231230210301), we get a palindrome (106243262342601).

The spelling of 103012032132300 in words is "one hundred three trillion, twelve billion, thirty-two million, one hundred thirty-two thousand, three hundred".