103022011131000 has 384 divisors, whose sum is σ = 348139139624640. Its totient is φ = 25353199872000.

The previous prime is 103022011130999. The next prime is 103022011131031. The reversal of 103022011131000 is 131110220301.

It is a happy number.

It is a super-2 number, since 2×103022011131000² (a number of 29 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2342825014 + ... + 2342868986.

Almost surely, 2^{103022011131000} is an apocalyptic number.

103022011131000 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 103022011131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174069569812320).

103022011131000 is an abundant number, since it is smaller than the sum of its proper divisors (245117128493640).

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

103022011131000 is a wasteful number, since it uses less digits than its factorization.

103022011131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48644 (or 48617 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103022011131000 its reverse (131110220301), we get a palindrome (103153121351301).

The spelling of 103022011131000 in words is "one hundred three trillion, twenty-two billion, eleven million, one hundred thirty-one thousand".