101042013000 has 256 divisors, whose sum is σ = 330458019840. Its totient is φ = 25655520000.

The previous prime is 101042012999. The next prime is 101042013001. The reversal of 101042013000 is 310240101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101042012999) and next prime (101042013001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101042013001) 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, 15659775 + ... + 15666225.

It is an arithmetic number, because the mean of its divisors is an integer number (1290851640).

Almost surely, 2^101042013000 is an apocalyptic number.

101042013000 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 101042013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165229009920).

101042013000 is an abundant number, since it is smaller than the sum of its proper divisors (229416006840).

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

101042013000 is a wasteful number, since it uses less digits than its factorization.

101042013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101042013000 its reverse (310240101), we get a palindrome (101352253101).

The spelling of 101042013000 in words is "one hundred one billion, forty-two million, thirteen thousand".