101131420 has 96 divisors (see below), whose sum is σ = 240045120. Its totient is φ = 35543040.

The previous prime is 101131417. The next prime is 101131427. The reversal of 101131420 is 24131101.

It is a super-2 number, since 2×101131420² = 20455128222432800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101131420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564891 + ... + 565069.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 2^101131420 is an apocalyptic number.

101131420 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 101131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120022560).

101131420 is an abundant number, since it is smaller than the sum of its proper divisors (138913700).

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

101131420 is a wasteful number, since it uses less digits than its factorization.

101131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101131420 is about 10056.4118849618. The cubic root of 101131420 is about 465.9028514168.

Adding to 101131420 its reverse (24131101), we get a palindrome (125262521).

The spelling of 101131420 in words is "one hundred one million, one hundred thirty-one thousand, four hundred twenty".