1003301001150 has 288 divisors, whose sum is σ = 3177744825600. Its totient is φ = 204475069440.

The previous prime is 1003301001107. The next prime is 1003301001223. The reversal of 1003301001150 is 511001033001.

It is a super-2 number, since 2×1003301001150² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6366001 + ... + 6521699.

It is an arithmetic number, because the mean of its divisors is an integer number (11033836200).

Almost surely, 2^{1003301001150} is an apocalyptic number.

1003301001150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003301001150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588872412800).

1003301001150 is an abundant number, since it is smaller than the sum of its proper divisors (2174443824450).

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

1003301001150 is a wasteful number, since it uses less digits than its factorization.

1003301001150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155776 (or 155752 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 1003301001150 its reverse (511001033001), we get a palindrome (1514302034151).

The spelling of 1003301001150 in words is "one trillion, three billion, three hundred one million, one thousand, one hundred fifty".