10533313114500 has 288 divisors, whose sum is σ = 33862319487360. Its totient is φ = 2542369632000.

The previous prime is 10533313114477. The next prime is 10533313114501. The reversal of 10533313114500 is 541131333501.

It is a super-2 number, since 2×10533313114500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10533313114501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41436787 + ... + 41690213.

It is an arithmetic number, because the mean of its divisors is an integer number (117577498220).

Almost surely, 2^{10533313114500} is an apocalyptic number.

10533313114500 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 10533313114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16931159743680).

10533313114500 is an abundant number, since it is smaller than the sum of its proper divisors (23329006372860).

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

10533313114500 is a wasteful number, since it uses less digits than its factorization.

10533313114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253700 (or 253677 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 10533313114500 in words is "ten trillion, five hundred thirty-three billion, three hundred thirteen million, one hundred fourteen thousand, five hundred".