1020125415431 has 16 divisors (see below), whose sum is σ = 1047364992000. Its totient is φ = 993119342688.

The previous prime is 1020125415383. The next prime is 1020125415457. The reversal of 1020125415431 is 1345145210201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1020125415431 - 2¹⁸ = 1020125153287 is a prime.

It is a super-2 number, since 2×1020125415431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020125415394 and 1020125415403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020125414431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37520000 + ... + 37547178.

It is an arithmetic number, because the mean of its divisors is an integer number (65460312000).

Almost surely, 2^{1020125415431} is an apocalyptic number.

1020125415431 is a deficient number, since it is larger than the sum of its proper divisors (27239576569).

1020125415431 is a wasteful number, since it uses less digits than its factorization.

1020125415431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31438.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 1020125415431 in words is "one trillion, twenty billion, one hundred twenty-five million, four hundred fifteen thousand, four hundred thirty-one".