101133123301000 has 128 divisors (see below), whose sum is σ = 286368212332800. Its totient is φ = 32634554035200.

The previous prime is 101133123300961. The next prime is 101133123301013. The reversal of 101133123301000 is 103321331101.

It is a super-3 number, since 3×101133123301000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424810090 + ... + 425048089.

It is an arithmetic number, because the mean of its divisors is an integer number (2237251658850).

Almost surely, 2^{101133123301000} is an apocalyptic number.

101133123301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133123301000 is an abundant number, since it is smaller than the sum of its proper divisors (185235089031800).

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

101133123301000 is a wasteful number, since it uses less digits than its factorization.

101133123301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849858224 (or 849858210 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101133123301000 its reverse (103321331101), we get a palindrome (101236444632101).

The spelling of 101133123301000 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred one thousand".