101141131000 has 256 divisors, whose sum is σ = 292217103360. Its totient is φ = 31907289600.

The previous prime is 101141130991. The next prime is 101141131009. The reversal of 101141131000 is 131141101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101141130991) and next prime (101141131009).

It is a super-2 number, since 2×101141131000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141131009) 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, 31575399 + ... + 31578601.

It is an arithmetic number, because the mean of its divisors is an integer number (1141473060).

Almost surely, 2^101141131000 is an apocalyptic number.

101141131000 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 101141131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146108551680).

101141131000 is an abundant number, since it is smaller than the sum of its proper divisors (191075972360).

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

101141131000 is a wasteful number, since it uses less digits than its factorization.

101141131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101141131000 its reverse (131141101), we get a palindrome (101272272101).

The spelling of 101141131000 in words is "one hundred one billion, one hundred forty-one million, one hundred thirty-one thousand".