101303312000 has 256 divisors, whose sum is σ = 276677856000. Its totient is φ = 36580864000.

The previous prime is 101303311961. The next prime is 101303312009. The reversal of 101303312000 is 213303101.

It is a super-2 number, since 2×101303312000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303312009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26222069 + ... + 26225931.

It is an arithmetic number, because the mean of its divisors is an integer number (1080772875).

Almost surely, 2^101303312000 is an apocalyptic number.

101303312000 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 101303312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138338928000).

101303312000 is an abundant number, since it is smaller than the sum of its proper divisors (175374544000).

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

101303312000 is a wasteful number, since it uses less digits than its factorization.

101303312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101303312000 its reverse (213303101), we get a palindrome (101516615101).

The spelling of 101303312000 in words is "one hundred one billion, three hundred three million, three hundred twelve thousand".