103011332011032 has 256 divisors, whose sum is σ = 282686931072000. Its totient is φ = 31152875307008.

The previous prime is 103011332011013. The next prime is 103011332011033. The reversal of 103011332011032 is 230110233110301.

It is a happy number.

It is a super-2 number, since 2×103011332011032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011332011033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2409995053 + ... + 2410037795.

It is an arithmetic number, because the mean of its divisors is an integer number (1104245824500).

Almost surely, 2^{103011332011032} is an apocalyptic number.

103011332011032 is a gapful number since it is divisible by the number (12) 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 103011332011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141343465536000).

103011332011032 is an abundant number, since it is smaller than the sum of its proper divisors (179675599060968).

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

103011332011032 is a wasteful number, since it uses less digits than its factorization.

103011332011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44770 (or 44766 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103011332011032 its reverse (230110233110301), we get a palindrome (333121565121333).

The spelling of 103011332011032 in words is "one hundred three trillion, eleven billion, three hundred thirty-two million, eleven thousand, thirty-two".