1020131432040 has 512 divisors, whose sum is σ = 3633897738240. Its totient is φ = 224272588800.

The previous prime is 1020131431961. The next prime is 1020131432041. The reversal of 1020131432040 is 402341310201.

It is a super-2 number, since 2×1020131432040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020131431998 and 1020131432016.

It is not an unprimeable number, because it can be changed into a prime (1020131432041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 780513067 + ... + 780514373.

It is an arithmetic number, because the mean of its divisors is an integer number (7097456520).

Almost surely, 2^{1020131432040} is an apocalyptic number.

1020131432040 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 1020131432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816948869120).

1020131432040 is an abundant number, since it is smaller than the sum of its proper divisors (2613766306200).

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

1020131432040 is a wasteful number, since it uses less digits than its factorization.

1020131432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1020131432040 its reverse (402341310201), we get a palindrome (1422472742241).

The spelling of 1020131432040 in words is "one trillion, twenty billion, one hundred thirty-one million, four hundred thirty-two thousand, forty".